Mathematics - Additional - 0606 CIE

Integration

Akopọ

Integration is the reverse of differentiation: given a gradient function, it recovers the original function. It is one half of calculus, and it is the tool for finding areas and totals from rates.

In this lesson you will understand integration as the reverse process of differentiation and integrate sums of powers of x and standard functions, remembering the constant of integration.

Awọn Afojusun

  1. Understand integration as the reverse process of differentiation.
  2. Integrate sums of terms in powers of x, and functions of the form (ax + b) to the power n (excluding -1), sin(ax + b), cos(ax + b) and e to the power (ax + b).

Akọ̀wé Ẹ̀kọ́

Integration lets you go back from a rate to a total, the foundation of finding areas, volumes and accumulated change.

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Oriire fun ipari ẹkọ lori Integration. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Integration is the reverse process of: A. addition B. differentiation C. factorising D. substitution Answer: B
  2. Integrate 3x^2 with respect to x. A. 6x + c B. x^3 + c C. 3x^3 + c D. x^2 + c Answer: B
  3. What must be added to an indefinite integral? A. a power B. a constant of integration C. a bracket D. nothing Answer: B
  4. Integrate 2x + 1 with respect to x. A. x^2 + x + c B. 2x^2 + x + c C. x^2 + c D. 2 + c Answer: A
  5. The rule for integrating x^n excludes which value of n? A. 0 B. 1 C. -1 D. 2 Answer: C

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
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O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Integration? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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